Posted by **Brianna** on Monday, September 26, 2011 at 12:38am.

Let g(x) = -2x2 + bx + c be a quadratic function, defined everywhere, where b and c are constants. If x = 1 marks the location of one of the zeros of this quadratic function, and if the y-intercept of this function is at (0, 5), then use this information to name constant b.

- college Algebra -
**Steve**, Tuesday, September 27, 2011 at 10:37am
g = -2x^2 + bx + c

g = (x-1)(-2x + b-2) remainder b+c-2

In order for 1 to be a root, then x-1 must divide g exactly. That is,

b+c-2 = 0

Using the y-intercept, when x=0, y=5

5 = c

So, b+3 = 0, or b=-3

g = -2x^2 -3x + 5 = (x-1)(-2x - 5)

## Answer this Question

## Related Questions

College Algebra - Let g(x) = -2x2 + bx + c be a quadratic function, defined ...

College Algebra - Let h(12) = -100 for some function h(x), defined everywhere. ...

College Algebra - 1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. ...

Algebra - Can you please help me with the following problems? Find the ...

Algebra Problems - Please check my answers. Find the coordinates of the vertex ...

Algebra - Please check my answers. Find the coordinates of the vertex for the ...

Algebra - Please check my answers. Find the coordinates of the vertex for the ...

College Algebra - Find a Quadratic polynomial function with real coefficients ...

College Algebra - Let g(x) = x3 - 12x + 16. Find the location of the local ...

college Algebra - Let g(x) = x3 - 12x + 16. Find the location of the local ...